38134777708080 has 120 divisors (see below), whose sum is σ = 128070595926000. Its totient is φ = 10169170767360.

The previous prime is 38134777708031. The next prime is 38134777708099. The reversal of 38134777708080 is 8080777743183.

38134777708080 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 477 + 7 + 7 + 0 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×38134777708080² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38134777707999 and 38134777708017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93215175 + ... + 93623385.

It is an arithmetic number, because the mean of its divisors is an integer number (1067254966050).

Almost surely, 2^{38134777708080} is an apocalyptic number.

38134777708080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38134777708080 is an abundant number, since it is smaller than the sum of its proper divisors (89935818217920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38134777708080 is a wasteful number, since it uses less digits than its factorization.

38134777708080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537979 (or 537970 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 63.

The spelling of 38134777708080 in words is "thirty-eight trillion, one hundred thirty-four billion, seven hundred seventy-seven million, seven hundred eight thousand, eighty".